The advantage of having a critical phenomena description is that the dynamics is expected to be independent of the microscopic details of the individual system studied, and will depend of a few parameters such as the dimensionality of the system, the interaction range, order parameter definition etc. (see e.g., [1]}). This means, simplified models with a very few parameters should be able to reproduce the `critical description' of breadown phenomena. Indeed, there have been many such attempts. Some of the prominent of such models include the fiber bundle model [2]}, the random fuse model [3]}, Burridge Knopoff model for earthquakes [4]}, and so on. There are also multiple efforts in molecular dynamics simulations to obtain the scale free avalanche statistics.
